Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions

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NEMATI SOMAYEH; ORDOKHANI Y.

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Journal: MATHEMATICAL RESEARCHES Year:2019 | Volume:4 | Issue:2 Page(s): 241-258

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Information Journal Paper

Title

Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions

Author(s)

NEMATI SOMAYEH | ORDOKHANI Y. | Issue Writer Certificate

Keywords

Delay fractional optimal control problemQ1

Modification of hat functionsQ1

Riemann-Liouville integralQ1

Caputo derivativeQ1

Operational matrix of integrationQ1

Product operational matrixQ1

Delay operational matrixQ1

Abstract

Introduction Optimal control problems occur in engineering, science and many other fields. An optimal control problem is a problem of optimization of an objective functional on a set of state and control variables, which is called the performance index, subject to dynamic constraints on the states and controls. In the case that the dynamic constraints include delay fractional differential equation, the problem is called a Delay fractional optimal control problem. In this paper, we consider the following optimal control problem ....

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APA: Copy

NEMATI, SOMAYEH, & ORDOKHANI, Y.. (2019). Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions. MATHEMATICAL RESEARCHES, 4(2 ), 241-258. SID. https://sid.ir/paper/260782/en

Vancouver: Copy

NEMATI SOMAYEH, ORDOKHANI Y.. Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions. MATHEMATICAL RESEARCHES[Internet]. 2019;4(2 ):241-258. Available from: https://sid.ir/paper/260782/en

IEEE: Copy

SOMAYEH NEMATI, and Y. ORDOKHANI, “Numerical Solution of Delay Fractional Optimal Control Problems using Modification of Hat Functions,” MATHEMATICAL RESEARCHES, vol. 4, no. 2 , pp. 241–258, 2019, [Online]. Available: https://sid.ir/paper/260782/en

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